Translations H
Describe the transformation |x-6|
Shift right 6
Describe the transformation of f(x)=|x|+5
Shift up 5
Describe the transformation of 2|x| based on the parent function f(x)=|x|
Vertical stretch by a factor of 2
Describe the transformation of -|x| compared to the parent function f(x)=|x|
Reflects over x-axis
What is the vertex of f(x)=|x|
(0,0)
Describe the transformation |x+7|
Shift left 7
Describe the transformation of f(x)=x2 - 6
Shift down 6
|x+4| is multiplied by 3/4. describe the shift
Compresses by a factor of 3/4
g(x)=|x+4| reflects over the x axis write h(x)
h(x)= -|x+4|
f(x)=3(x+7)2-9 what is the vertex
(-7,-9)
g(x)=|x-7|
f(x)=|x| write the equation so that it shifts 7 units down
f(x)=|x|-7
It stretches vertically
f(x)= -4(x+7) -8 list the transformations that have occured compared to g(x)=4(x+7) -8
Reflects over x-axis
What is the vertex of the function? f(x)= |x-0|+2
(0,2)
Write the equation for h(x) if it is f(x)=|x| shifted left by 9
h(x)=|x+9|
Write the equation of f(x)=(x+7)2 shifted up 11 units
f(x)=(x+7)2 + 11
(x-1)2 compresses by a factor of 1/3. Write the new function
y=(1/3)(x-1)2
List all transformations of -0.5(x-7)2+3
Compresses by .5 reflects over x-axis shift right 7 up 3
Vertex of the absolute value function is (6,8). Write the function
f(x)=|x-6|+8
Write j(x) if it is shifted 9 units to the right j(x)=x2+3
(x-9)2 +3
f(x)= 2(x-7)2 write the equation describing it shifting down 8 units
2(x-7)2 -8
f(x)=5(x-7)2+8. List the transformations occuring
Stretch by 5 right 7 up 8
List all transformations for f(x)= -2|x-0|+0
Reflect over x-axis vertically stretch by 2
The vertex of the quadratic function is (-2,-8) write the function
y= (x+2)2-8